Answer:
198 inches^3
Step-by-step explanation:
Volume of a rectangular prism = Length × width × height
Length = 11 inches
Width = 6 inches
Height= 3 inches
Volume of a rectangular prism = Length × width × height
= 11 inches × 6 inches × 3 inches
= 198 inches^3
The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches
Answer:
y= -4x+7
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the gradient of the line first.

Using the above formula,

Susbt. m= -4 into the equation:
y= -4x +c
Subst. a coordinate to find c.
When x=3, y= -5,
-5= -4(3) +c
-5= -12 +c
c= 12 -5
c=7
Thus the equation of the line is y= -4x +7.
X=23
I say this because you can see that the scale factor is 3 due to just visually scaling both the long and short leg from the original triangle to the dilated triangle. Dividing 39 by 3 is 13, and doing it in reverse. Adding 10 would equal 23, the initial value. So that'd be the missing value.

Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

Solving for dx/dt, we get

We know that

when x = 6 ft. So the rate at which the top of the ladder is going down is


The negative sign means that the distance x is decreasing as y is increasing.
Answer:
this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.
Step-by-step explanation:
?/389 = 18/100
389 x 18 = 7002
100/7002 = 70.02
389 - 70.02 = 318.98